Analysis of reliability of systems with component-wise storages

Abstract

Time redundancy is a method of increasing the reliability and efficiency of the operation of systems for various purposes, in particular, energy systems. A system with time redundancy is given additional time (a time reserve) for restoring characteristics. In this paper, based on the theory of semi-Markov processes with a common phase space of states, a semi-Markov model of a two-component system with a component-wise instantly replenished time reserve is constructed. The stationary reliability characteristics of the system under consideration are determined.

Hidden Markov Model and States Prediction of an Autonomous Wind-Diesel Complex

“…In this paper, first, a semi-Markov model [8][9][10][11][12] of an autonomous WDC is constructed, which makes it possible to calculate the stationary and temporal characteristics of reliability. Then, following the methodology proposed by the authors [18], a hidden Markov model [15][16][17] is developed on its basis, which is used to solve forecasting problems and evaluate its characteristics, taking into account the given parameters.…”

“…Using the formulas presented in[12, p. 36], 𝑝 𝜌 𝑑𝑒 𝑃 𝑒, 𝐸 𝜌 𝐸 , 𝑚 𝜌 𝑑𝑒 𝑚 𝑒 𝜌 𝐸 11we find the probabilities of transitions p between the enlarged states and the average sojourn times m in them.Let`s calculate the denominators of formulas(11).…”

Semi-Markov model of a multi-component energy system with component-wise storages

“…Time redundancy [1][2][3][4][5][6] provides the system with the ability to use up some additional time (time reserve) to restore performance during operation. For systems with time redundancy, a malfunction of the system is not necessarily accompanied by a system failure, since it is possible to restore the system's operability for a reserve time.…”

“…Time redundancy is used in gas transmission systems, in which underground gas storages are the source of time reserve, in electric power systems, time reserve is realized due to energy storage [5,6].…”

“…In [6], a semi-Markov model of a two-component system with component-wise storage devices was constructed; stationary characteristics of reliability were found.…”